头歌本关任务：编写一个分数的类 Fraction。

以下是一个分数类Fraction的实现，包括初始化、加法、减法、乘法、除法和比较运算符的重载：

class Fraction:
    def __init__(self, numerator, denominator):
        self.numerator = numerator
        self.denominator = denominator

    def __add__(self, other):
        new_numerator = self.numerator * other.denominator + other.numerator * self.denominator
        new_denominator = self.denominator * other.denominator
        return Fraction(new_numerator, new_denominator)

    def __sub__(self, other):
        new_numerator = self.numerator * other.denominator - other.numerator * self.denominator
        new_denominator = self.denominator * other.denominator
        return Fraction(new_numerator, new_denominator)

    def __mul__(self, other):
        new_numerator = self.numerator * other.numerator
        new_denominator = self.denominator * other.denominator
        return Fraction(new_numerator, new_denominator)

    def __truediv__(self, other):
        new_numerator = self.numerator * other.denominator
        new_denominator = self.denominator * other.numerator
        return Fraction(new_numerator, new_denominator)

    def __eq__(self, other):
        return self.numerator * other.denominator == other.numerator * self.denominator

    def __lt__(self, other):
        return self.numerator * other.denominator < other.numerator * self.denominator

    def __le__(self, other):
        return self.numerator * other.denominator <= other.numerator * self.denominator

    def __gt__(self, other):
        return self.numerator * other.denominator > other.numerator * self.denominator

    def __ge__(self, other):
        return self.numerator * other.denominator >= other.numerator * self.denominator

    def __str__(self):
        return str(self.numerator) + '/' + str(self.denominator)